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Finding the Fourth Proportional to 158,949.20, 238,423.80 and 85,221.20

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Solution

The fourth proportional to 158,949.20, 238,423.80 and 85,221.20 is: 127,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,949.20 : 238,423.80 = 85,221.20 : x
  2. Step 2: Convert to fraction form
    158,949.20/238,423.80 = 85,221.20/x
  3. Step 3: Cross multiply
    158,949.20x = 238,423.80 × 85,221.20
  4. Step 4: Simplify right side
    158,949.20x = 20,318,762,344.56
  5. Step 5: Solve for x
    x = 20,318,762,344.56/158,949.20
  6. Step 6: Final answer
    x = 127,831.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.